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Finding the Fourth Proportional to 12,607.71, 17,398.56 and 7,302.41

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Solution

The fourth proportional to 12,607.71, 17,398.56 and 7,302.41 is: 10,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.71 : 17,398.56 = 7,302.41 : x
  2. Step 2: Convert to fraction form
    12,607.71/17,398.56 = 7,302.41/x
  3. Step 3: Cross multiply
    12,607.71x = 17,398.56 × 7,302.41
  4. Step 4: Simplify right side
    12,607.71x = 127,051,418.53
  5. Step 5: Solve for x
    x = 127,051,418.53/12,607.71
  6. Step 6: Final answer
    x = 10,077.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.